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Finding the Fourth Proportional to 12,791.59, 19,146.44 and 6,853.68

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Solution

The fourth proportional to 12,791.59, 19,146.44 and 6,853.68 is: 10,258.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,791.59 : 19,146.44 = 6,853.68 : x
  2. Step 2: Convert to fraction form
    12,791.59/19,146.44 = 6,853.68/x
  3. Step 3: Cross multiply
    12,791.59x = 19,146.44 × 6,853.68
  4. Step 4: Simplify right side
    12,791.59x = 131,223,590.03
  5. Step 5: Solve for x
    x = 131,223,590.03/12,791.59
  6. Step 6: Final answer
    x = 10,258.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.